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Measures of Possibility

Measures of Possibility PDF Author: Domhnall Mitchell
Publisher: Liverpool University Press
ISBN: 9781558494626
Category : Literary Criticism
Languages : en
Pages : 448

Book Description
"The author confronts the thorny question of whether any set of editing practices can adequately represent in print the distinctive characteristics of Emily Dickinson's writing".--BOOKJACKET.

Measures of Possibility

Measures of Possibility PDF Author: Domhnall Mitchell
Publisher: Liverpool University Press
ISBN: 9781558494626
Category : Literary Criticism
Languages : en
Pages : 448

Book Description
"The author confronts the thorny question of whether any set of editing practices can adequately represent in print the distinctive characteristics of Emily Dickinson's writing".--BOOKJACKET.

Possibility Theory for the Design of Information Fusion Systems

Possibility Theory for the Design of Information Fusion Systems PDF Author: Basel Solaiman
Publisher: Springer Nature
ISBN: 3030328538
Category : Mathematics
Languages : en
Pages : 294

Book Description
This practical guidebook describes the basic concepts, the mathematical developments, and the engineering methodologies for exploiting possibility theory for the computer-based design of an information fusion system where the goal is decision support for industries in smart ICT (information and communications technologies). This exploitation of possibility theory improves upon probability theory, complements Dempster-Shafer theory, and fills an important gap in this era of Big Data and Internet of Things. The book discusses fundamental possibilistic concepts: distribution, necessity measure, possibility measure, joint distribution, conditioning, distances, similarity measures, possibilistic decisions, fuzzy sets, fuzzy measures and integrals, and finally, the interrelated theories of uncertainty..uncertainty. These topics form an essential tour of the mathematical tools needed for the latter chapters of the book. These chapters present applications related to decision-making and pattern recognition schemes, and finally, a concluding chapter on the use of possibility theory in the overall challenging design of an information fusion system. This book will appeal to researchers and professionals in the field of information fusion and analytics, information and knowledge processing, smart ICT, and decision support systems.

Possibility Theory

Possibility Theory PDF Author: Didier Dubois
Publisher: Springer Science & Business Media
ISBN: 1468452878
Category : Mathematics
Languages : en
Pages : 274

Book Description
In the evolution of scientific theories, concern with uncertainty is almost invariably a concomitant of maturation. This is certainly true of the evolution· of physics, economics, operations research, communication sciences, and a host of other fields. And it is true of what has been happening more recently in the area of artificial intelligence, most notably in the development of theories relating to the management of uncertainty in knowledge-based systems. In science, it is traditional to deal with uncertainty through the use of probability theory. In recent years, however, it has become increasingly clear that there are some important facets of uncertainty which do not lend themselves to analysis by classical probability-based methods. One such facet is that of lexical elasticity, which relates to the fuzziness of words in natural languages. As a case in point, even a simple relation X, Y, and Z, expressed as if X is small and Y is very large then between Z is not very small, does not lend itself to a simple interpretation within the framework of probability theory by reason of the lexical elasticity of the predicates small and large.

Truth, Possibility and Probability

Truth, Possibility and Probability PDF Author: R. Chuaqui
Publisher: Elsevier
ISBN: 0080872778
Category : Mathematics
Languages : en
Pages : 505

Book Description
Anyone involved in the philosophy of science is naturally drawn into the study of the foundations of probability. Different interpretations of probability, based on competing philosophical ideas, lead to different statistical techniques, and frequently to mutually contradictory consequences. This unique book presents a new interpretation of probability, rooted in the traditional interpretation that was current in the 17th and 18th centuries. Mathematical models are constructed based on this interpretation, and statistical inference and decision theory are applied, including some examples in artificial intelligence, solving the main foundational problems. Nonstandard analysis is extensively developed for the construction of the models and in some of the proofs. Many nonstandard theorems are proved, some of them new, in particular, a representation theorem that asserts that any stochastic process can be approximated by a process defined over a space with equiprobable outcomes.

Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory

Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory PDF Author: J. Kacprzyk
Publisher: Springer Science & Business Media
ISBN: 9400921098
Category : Business & Economics
Languages : en
Pages : 349

Book Description
Decision making is certainly a very crucial component of many human activities. It is, therefore, not surprising that models of decisions play a very important role not only in decision theory but also in areas such as operations Research, Management science, social Psychology etc . . The basic model of a decision in classical normative decision theory has very little in common with real decision making: It portrays a decision as a clear-cut act of choice, performed by one individual decision maker and in which states of nature, possible actions, results and preferences are well and crisply defined. The only compo nent in which uncertainty is permitted is the occurence of the different states of nature, for which probabilistic descriptions are allowed. These probabilities are generally assumed to be known numerically, i. e. as single probabili ties or as probability distribution functions. Extensions of this basic model can primarily be conceived in three directions: 1. Rather than a single decision maker there are several decision makers involved. This has lead to the areas of game theory, team theory and group decision theory. 2. The preference or utility function is not single valued but rather vector valued. This extension is considered in multiattribute utility theory and in multicritieria analysis. 3.

Probability and Measure

Probability and Measure PDF Author: Patrick Billingsley
Publisher: John Wiley & Sons
ISBN: 9788126517718
Category :
Languages : en
Pages : 612

Book Description
Now in its new third edition, Probability and Measure offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. Retaining the unique approach of the previous editions, this text interweaves material on probability and measure, so that probability problems generate an interest in measure theory and measure theory is then developed and applied to probability. Probability and Measure provides thorough coverage of probability, measure, integration, random variables and expected values, convergence of distributions, derivatives and conditional probability, and stochastic processes. The Third Edition features an improved treatment of Brownian motion and the replacement of queuing theory with ergodic theory.· Probability· Measure· Integration· Random Variables and Expected Values· Convergence of Distributions· Derivatives and Conditional Probability· Stochastic Processes

That's a Possibility!

That's a Possibility! PDF Author: Bruce Goldstone
Publisher: Macmillan
ISBN: 0805089985
Category : JUVENILE NONFICTION
Languages : en
Pages : 34

Book Description
Combines colorful photographs and interactive examples in an introduction to the science and math of probability that provides comprehensive explanations about games of chance and various easy-to-understand scenarios. By the author of Great Estimations.

Handbook of Seismic Risk Analysis and Management of Civil Infrastructure Systems

Handbook of Seismic Risk Analysis and Management of Civil Infrastructure Systems PDF Author: S Tesfamariam
Publisher: Elsevier
ISBN: 0857098985
Category : Science
Languages : en
Pages : 912

Book Description
Earthquakes represent a major risk to buildings, bridges and other civil infrastructure systems, causing catastrophic loss to modern society. Handbook of seismic risk analysis and management of civil infrastructure systems reviews the state of the art in the seismic risk analysis and management of civil infrastructure systems. Part one reviews research in the quantification of uncertainties in ground motion and seismic hazard assessment. Part twi discusses methodologies in seismic risk analysis and management, whilst parts three and four cover the application of seismic risk assessment to buildings, bridges, pipelines and other civil infrastructure systems. Part five also discusses methods for quantifying dependency between different infrastructure systems. The final part of the book considers ways of assessing financial and other losses from earthquake damage as well as setting insurance rates. Handbook of seismic risk analysis and management of civil infrastructure systems is an invaluable guide for professionals requiring understanding of the impact of earthquakes on buildings and lifelines, and the seismic risk assessment and management of buildings, bridges and transportation. It also provides a comprehensive overview of seismic risk analysis for researchers and engineers within these fields. This important handbook reviews the wealth of recent research in the area of seismic hazard analysis in modern earthquake design code provisions and practices Examines research into the analysis of ground motion and seismic hazard assessment, seismic risk hazard methodologies Addresses the assessment of seismic risks to buildings, bridges, water supply systems and other aspects of civil infrastructure

Quantitative Modeling of Operational Risk in Finance and Banking Using Possibility Theory

Quantitative Modeling of Operational Risk in Finance and Banking Using Possibility Theory PDF Author: Arindam Chaudhuri
Publisher: Springer
ISBN: 3319260391
Category : Technology & Engineering
Languages : en
Pages : 190

Book Description
This book offers a comprehensive guide to the modelling of operational risk using possibility theory. It provides a set of methods for measuring operational risks under a certain degree of vagueness and impreciseness, as encountered in real-life data. It shows how possibility theory and indeterminate uncertainty-encompassing degrees of belief can be applied in analysing the risk function, and describes the parametric g-and-h distribution associated with extreme value theory as an interesting candidate in this regard. The book offers a complete assessment of fuzzy methods for determining both value at risk (VaR) and subjective value at risk (SVaR), together with a stability estimation of VaR and SVaR. Based on the simulation studies and case studies reported on here, the possibilistic quantification of risk performs consistently better than the probabilistic model. Risk is evaluated by integrating two fuzzy techniques: the fuzzy analytic hierarchy process and the fuzzy extension of techniques for order preference by similarity to the ideal solution. Because of its specialized content, it is primarily intended for postgraduates and researchers with a basic knowledge of algebra and calculus, and can be used as reference guide for research-level courses on fuzzy sets, possibility theory and mathematical finance. The book also offers a useful source of information for banking and finance professionals investigating different risk-related aspects.

Possibility Theory and the Risk

Possibility Theory and the Risk PDF Author: Irina Georgescu
Publisher: Springer
ISBN: 3642247407
Category : Technology & Engineering
Languages : en
Pages : 128

Book Description
The book deals with some of the fundamental issues of risk assessment in grid computing environments. The book describes the development of a hybrid probabilistic and possibilistic model for assessing the success of a computing task in a grid environment